qit.ho

Harmonic oscillators

This module simulates harmonic oscillators by truncating the state space dimension to a finite value. Higher truncation limits give more accurate results. All the functions in this module operate in the truncated number basis \(\{\ket{0}, \ket{1}, ..., \ket{n-1}\}\) of the harmonic oscillator, where n is the truncation dimension.

The corresponding truncated annihilation operator can be obtained with qit.utils.boson_ladder.

Contents

coherent_state(alpha[, n])	Coherent states of a harmonic oscillator.
position_state(q[, n])	Position eigenstates of a harmonic oscillator.
momentum_state(p[, n])	Momentum eigenstates of a harmonic oscillator.
position([n])	Position operator.
momentum([n])	Momentum operator.
displace(alpha[, n])	Bosonic displacement operator.
squeeze(z[, n])	Bosonic squeezing operator.
rotate(phi[, n])	Bosonic rotation operator.
beamsplitter(theta, phi[, n])	Bosonic beamsplitter operator.
cx([s, n])	Bosonic controlled addition operator.
husimi(rho[, alpha, z, res, lim])	Husimi probability distribution.
wigner(rho[, alpha, res, lim, method])	Wigner quasi-probability distribution.

Functions

beamsplitter(theta, phi[, n])	Bosonic beamsplitter operator.
coherent_state(alpha[, n])	Coherent states of a harmonic oscillator.
cx([s, n])	Bosonic controlled addition operator.
displace(alpha[, n])	Bosonic displacement operator.
husimi(rho[, alpha, z, res, lim])	Husimi probability distribution.
momentum([n])	Momentum operator.
momentum_state(p[, n])	Momentum eigenstates of a harmonic oscillator.
position([n])	Position operator.
position_state(q[, n])	Position eigenstates of a harmonic oscillator.
rotate(phi[, n])	Bosonic rotation operator.
squeeze(z[, n])	Bosonic squeezing operator.
wigner(rho[, alpha, res, lim, method])	Wigner quasi-probability distribution.